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  2. List of electromagnetism equations - Wikipedia

    en.wikipedia.org/wiki/List_of_electromagnetism...

    The definitions for monopoles are of theoretical interest, although real magnetic dipoles can be described using pole strengths. There are two possible units for monopole strength, Wb (Weber) and A m (Ampere metre). Dimensional analysis shows that magnetic charges relate by q m (Wb) = μ 0 q m (Am).

  3. Splitting lemma - Wikipedia

    en.wikipedia.org/wiki/Splitting_lemma

    Note for completeness that 1. fails: any map t: B → A must map every two-cycle to the identity because the map has to be a group homomorphism, while the order of a two-cycle is 2 which can not be divided by the order of the elements in A other than the identity element, which is 3 as A is the alternating subgroup of S 3, or namely the cyclic ...

  4. Baker–Campbell–Hausdorff formula - Wikipedia

    en.wikipedia.org/wiki/Baker–Campbell...

    This degenerate Baker–Campbell–Hausdorff formula then displays the product of two displacement operators as another displacement operator (up to a phase factor), with the resultant displacement equal to the sum of the two displacements, ^ † ^ ^ † ^ = (+) ^ † (+) ^ /, since the Heisenberg group they provide a representation of is ...

  5. Sign test - Wikipedia

    en.wikipedia.org/wiki/Sign_test

    The sign test is a statistical test for consistent differences between pairs of observations, such as the weight of subjects before and after treatment. Given pairs of observations (such as weight pre- and post-treatment) for each subject, the sign test determines if one member of the pair (such as pre-treatment) tends to be greater than (or less than) the other member of the pair (such as ...

  6. Math symbol brackets - Wikipedia

    en.wikipedia.org/wiki/Math_symbol_brackets

    The greatest common divisor of two numbers; Equivalence class congruence, especially for modular arithmetic or modulo an ideal; A higher order derivative in Lagrange's notation; Binomial or multinomial coefficient

  7. Names of small numbers - Wikipedia

    en.wikipedia.org/wiki/Names_of_small_numbers

    The following table lists the names of small numbers used in the long and short scales, along with the power of 10, engineering notation, and International System of Units (SI) symbols and prefixes. [1] [page needed] [2] [page needed] [3] [page needed] [4] [5] [6] [7]

  8. Split exact sequence - Wikipedia

    en.wikipedia.org/wiki/Split_exact_sequence

    The term split exact sequence is used in two different ways by different people. Some people mean a short exact sequence that right-splits (thus corresponding to a semidirect product) and some people mean a short exact sequence that left-splits (which implies it right-splits, and corresponds to a direct product). This article takes the latter ...

  9. Electric dipole moment - Wikipedia

    en.wikipedia.org/wiki/Electric_dipole_moment

    The electric dipole moment is a measure of the separation of positive and negative electrical charges within a system: that is, a measure of the system's overall polarity. The SI unit for electric dipole moment is the coulomb-metre (C⋅m). The debye (D) is another unit of measurement used in atomic physics and chemistry.